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Finding the Fourth Proportional to 1,956.63, 2,934.09 and 569.64

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Solution

The fourth proportional to 1,956.63, 2,934.09 and 569.64 is: 854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.63 : 2,934.09 = 569.64 : x
  2. Step 2: Convert to fraction form
    1,956.63/2,934.09 = 569.64/x
  3. Step 3: Cross multiply
    1,956.63x = 2,934.09 × 569.64
  4. Step 4: Simplify right side
    1,956.63x = 1,671,375.03
  5. Step 5: Solve for x
    x = 1,671,375.03/1,956.63
  6. Step 6: Final answer
    x = 854.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.